Greatest Common Factor of 484/75, 513/62, 228/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 484/75, 513/62, 228/372

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 484/75,513/62,228/372

Given fractions are 484/75,513/62,228/372

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 484,513,228

Greatest Common Factor of Numerators i.e. GCF of 484,513,228 is 1 .

LCM of Denominators means LCM of 75,62,372 as per the given fractions.

LCM of 75,62,372 is 9300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 484,513,228

GCF of Fractions 484/75,513/62,228/372 is 1/9300

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 484,513,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,513,228 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 484,513,228 . The biggest common factor number is the GCF number.
So the greatest common factor 484,513,228 is 1.

Lets's calculate LCM of 75,62,372

2 75, 62, 372
3 75, 31, 186
31 25, 31, 62
25, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 31 x 25 x 1 x 2 = 9300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9300

Therefore, the GCF of Fractions 484/75,513/62,228/372 is 1/9300

Least Common Multiple of 75,62,372 with GCF Formula

Least Common Multiple of 75,62,372 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 75,62,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,62,372) = 1

common factors(in case of two or more numbers have common factors) = 186

GCF(75,62,372) x common factors =1 x 186 = 186

LCM(75,62,372) = ( 75 × 62 × 372 ) / 186

LCM(75,62,372) = 1729800 / 186

LCM(75,62,372) = 9300


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 484/75, 513/62, 228/372

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 484/75, 513/62, 228/372?

Answer: GCF of Numerators as per given numbers 484/75, 513/62, 228/372 is

GCF of Numerators i.e. for 484,513,228 is 1

LCM of denominators i.e. for 75,62,372 is 9300.

Thus, GCF of Fractions is 1/9300.Finally, GCF of Fractions for 484/75, 513/62, 228/372 is 1/9300.